1. What is Mass Deficiency in Cats?

Definition: Mass deficiency refers to the difference between a cat's initial mass and final mass when converted to energy according to Einstein's mass-energy equivalence.

Purpose: This calculator helps quantify the tiny mass changes that occur when cats convert mass to energy during their daily activities.

2. How Does the Calculator Work?

The calculator uses Einstein's famous equation:

Where:

• \( \Delta m \) — Mass deficiency (kg)
• \( M_i \) — Initial mass of the cat (kg)
• \( M_f \) — Final mass of the cat (kg)
• \( c \) — Speed of light (3 × 10⁸ m/s)

Explanation: The difference in mass is divided by the speed of light squared to calculate the equivalent energy.

3. Importance of Mass Deficiency Calculation

Details: While the values are extremely small for everyday cat activities, this calculation demonstrates the fundamental principle of mass-energy equivalence in feline physics.

4. Using the Calculator

Tips: Enter the cat's initial mass, final mass (both in kg), and speed of light (default 3e8 m/s). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is this calculation relevant for cats?
A: Cats are known for their energy conservation and sudden bursts of activity, making them ideal subjects for demonstrating mass-energy equivalence.

Q2: What's a typical mass change for a cat?
A: For a 4kg cat running at full speed, the mass deficiency would be on the order of 10^-16 kg - extremely small but theoretically measurable.

Q3: Does this account for relativistic effects?
A: This is a simplified calculation. For precise measurements at near-light speeds, full relativistic equations would be needed.

Q4: How do I measure my cat's mass accurately?
A: Use a precise digital scale before and after activity periods for best results.

Q5: Can I use this for other animals?
A: Yes, the same principle applies to all matter, though cats are scientifically proven to be the most interesting subjects.